CH. • Supplementary Angles – two angles in which the sum of the measures is 180 degrees. Linear Pairs Find the measure of the angle described. 1­4 Notes and answers.notebook 6 August 22, 2013 Aug 21­4:31 PM Example 5: Identifying Vertical Angles Name the pairs of vertical angles. _____ Find the two angles. E.g. B. Linear Pairs, Vertical Angles, and Supplementary Angles Definition: Two angles pBAD and pDAC are said to form a linear pair if and areAB JJJG AC JJJG opposite rays. Example 2: Ex. 21. Find m ∠WYZ. Find the measurement of angle b. Angle Pairs Created by Parallel Lines Cut by a Transversal . Definition: Two angles pBAC and pEDF are said to be supplementary or to be supplements if their measures add to 180. The measurement of ∠XYZ = 75°. Any two right angles are supplementary. Supplementary angles can be adjacent. Evaluating Statements Use the figure below to decide whether the statement is true or false . 1 Guided Notes, page 15 2. a) Given that !1 is a complement of !2 and m!2=57°, find m!1. B. 3.2 The exterior angle of any polygon In any polygon, the exterior angles are found where the extension of a side meets the next side, as the diagram shows. Complementary Angles Supplementary Angles 1 Class Notes - a) State what type of angles are illustrated in the diagram. Correctly identify each picture and write the appropriate If ma1 5 40 8, then ma2 5 140 8. 15. 22. b). Four adjacent angles are on a line. Find the measurement of the angle and its complement. 20. b) Find the … 2. Name an angle pair that satisfies the condition two acute vertical angles. X Y Z W 47° Types of Angles - Notes From a Love ©2016 Math on the Move Vertical - Angles that are across from each other and are formed by any intersecting lines (not just parallel lines and transversals). 4. The basketball pole at right forms a pair of supplementary angles with the ground. angle is 360 n, where n is the number of sides of the polygon. A pair of vertical angles can be supplementary. 42 A C B D E 1 2 2 2 2 1 Here we see two intersecting lines that create vertical angles. Vertical angles: Two angles whose sides are opposite rays. 16. The measure of two supplementary angles are in the ratio 2:3. 9.3 9.3 COMPLEMENTARY AND SUPPLEMENTARY ANGLES • Complementary Angles – two angles in which the sum of the measures is 90 degrees. 19. a3 and a4 are a linear pair, and ma4 5 124 8.Find ma3. 1 c. d. 1 2) Find the missing angle in each diagram. 17. a. b. Name two adjacent angles whose sum is less than 90. Notes Review: Equal: Complementary: Supplementary: Vertical: Example 1-3: Word Problems 1. 18. Complementary angles can be adjacent. 23. Two acute angles are always complementary. What other type of angle can you see? A pair of vertical angles can be complementary. 3. Theorem 2-6 Congruence of angles is reflexive, symmetric, and transitive. Name an angle pair that satisfies the condition two angles that form a linear pair. Aug 21­7:51 PM Assignment (p. 32) 14­17, 23, 27, 29, 33, 34­37, 44­46 These angles are congruent. 3. here we have a hexagon: Each angle is 360 6 = 60 4. 14. If two angles are supplementary to the same angle or to congruent angles, then they are congruent. 20. 18. a1 and a2 are a linear pair, and ma1 5 51 8.Find ma2. The measurement of the complement of an angle is 39° more than the angle. Our next theorem relates these two definitions. Name two acute vertical angles. Given that !3 is a supplement of !4 and , m!4=41°, find m!3. Using the Vertical Angles Theorem Find the measure of a1. Guided Practice 1: A. The measurement of angle a is 35°. 19. vertical angles Illustration Example Problem Definition Properties/Facts adjacent angles Angles a and b are vertical angles. #2: Find all the missing angles: Mixed Questions: 1) Identify pair of angles each as supplementary, complementary, or vertical a. b. Theorem 2-5 Vertical Angles Theorem Vertical angles are congruent. The vertical (opposite) angles are congruent. Vertical angles must have the same measure. Since these extensions all form a “windmill” ef- 1.5 Angle Relationships Notes Example 1: A. Theorem 2-7 Congruence of segments is reflexive, symmetric, and transitive. Find m!BCA and m!DCA.

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